Combining Texts

All the ideas for 'fragments/reports', 'Mathematics and Philosophy: grand and little' and 'Mind and World'

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12 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
2. Reason / A. Nature of Reason / 3. Pure Reason
The logical space of reasons is a natural phenomenon, and it is the realm of freedom [McDowell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Mathematics shows that thinking is not confined to the finite [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
It is of the essence of being to appear [Badiou]
12. Knowledge Sources / B. Perception / 3. Representation
Representation must be propositional if it can give reasons and be epistemological [McDowell, by Burge]
12. Knowledge Sources / B. Perception / 5. Interpretation
There is no pure Given, but it is cultured, rather than entirely relative [McDowell, by Macbeth]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Sense impressions already have conceptual content [McDowell]
19. Language / F. Communication / 4. Private Language
Forming concepts by abstraction from the Given is private definition, which the Private Lang. Arg. attacks [McDowell]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]
28. God / A. Divine Nature / 1. God
There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]